Mastering Indices & Powers

Mathematics
GCSE Higher
12 questions
~24 mins
0 views0 downloads

About This Worksheet

A worksheet covering Indices & Powers for GCSE Higher students. Focuses on understanding the laws of indices, simplifying expressions, and applying these concepts to problem-solving scenarios.

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Full preview • 12 questions

Mastering Indices & Powers

Subject: MathematicsGrade: GCSE Higher
Name:
Date:

Untitled Worksheet

Grade GCSE Higher
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Simplify: 2^3 × 2^4
[2 marks]
2.
Calculate: (3^2)^4
[2 marks]
3.
Express 125 as a power of 5.
[2 marks]
4.
Simplify: 4^3 ÷ 4^2
[2 marks]
5.
What is the value of 10^0?
[1 mark]
6.
Simplify: 2^5 × 2^-3
[2 marks]
7.
Express 1/8 as a power of 2.
[2 marks]
8.
Simplify: (x^3)^2
[2 marks]
9.
If 3^x = 81, find x.
[3 marks]
10.
Solve for n: 5^n = 125.
[3 marks]
11.
Express the number 16,384 as a power of 2.
[2 marks]
12.
Challenge: A bacteria culture doubles in size every hour. If it starts with 1 bacterium, how many bacteria are there after 8 hours? Express your answer as a power of 2.
[4 marks]

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Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet